Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430j |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-37875780234180000 = -1 · 25 · 33 · 54 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 6 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202134,36261140] |
[a1,a2,a3,a4,a6] |
j |
-5868065424123/243340000 |
j-invariant |
L |
2.8943735739448 |
L(r)(E,1)/r! |
Ω |
0.36179673802357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430cu1 101430d1 |
Quadratic twists by: -3 -7 |